Crystal-spectrometer measurement of the 3d-2p X-ray transition in muonic 31P

doi:10.1016/0375-9474(79)90386-5

Nuclear Physics A

Volume 329, Issue 3, 22 October 1979, Pages 450-462

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Abstract

We have measured the wavelength of the $3 d_{52} −2 p_{32}$ muonic X-ray transition in ³¹P relative to the wavelength of the 84keV γ-ray from a ¹⁷⁰Tm source. The result is $λ^{p} λ^{Tm} = 0.957247(31)$ . Using the reported value for λ^Tm we find $(λ_{exp}^{p} − λ_{th}^{p}) λ_{th}^{p} = (−28±32) × 10^{−6}$ , where λ_th^p is the wavelength calculated according to the prescriptions of QED. Combining this result with the corresponding result reported earlier for $μ-^{28} Si$ , we obtain a limit for an additional muon-nucleon interaction. We compare this limit to the prediction of the Weinberg-Salam model, i.e., the interaction mediated by the Higgs boson.

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Cited by (8)

New precision measurements of the muonic 3d<inf> 5 2</inf>-2p<inf> 3 2</inf> X-ray transition in 24Mg and 28Si: Vacuum polarisation test and search for muon-hadron interactions beyond QED
1986, Nuclear Physics, Section A
Motivated by the importance of scalar particles in the current work on gauge theories of fundamental interactions, we have performed an improved muonic-atom experiment to search for long-range muon-hadron interactions. We remeasured the wavelengths of the $3 d_{52} −2 p_{32}$ X-ray transitions in ²⁴Mg and ²⁸Si with the bent-crystal spectrometer at the SIN muon channel. The relative difference between the X-ray wavelength λ_exp and the theoretical value as obtained from QED calculations, averaged over the two elements, is $λ_{exp} -λ_{QUED} /λ_{QUED} = (-0.2 +-3.1) × 10^{6}$ Assuming the validity of the QED calculations, we can put limits on an additional muon-nucleon interaction: If such an interaction were mediated, for example, by a scalar or vector (isoscalar) boson with a mass smaller than about 1 MeV, the corresponding coupling constant is g_μg_N ⩽ 0.8 × 10⁻⁶ × e². Alternatively, if additional muon-hadron interactions are negligible, our result corresponds to a 950 ppm test of the vacuum polarisation effect in QED. The result can also be interpreted as a 3 ppm measurement of the negative muon mass.
A new crystal bending device for focusing crystal spectrometers
1984, Nuclear Instruments and Methods In Physics Research
We have constructed a new crystal bending system for focusing crystal spectrometers. This bending device eliminates some of the complexities associated with other devices in that it contains flat surfaces only. The bending radius is variable and the new system has the added advantage that the crystal can be adjusted slightly in the bent situation. A γ-reflex with a resolution of 0.86 arc seconds was measured with a crystal region of 45 mm diameter. The results are highly reproducible. An optical system for adjusting and checking the bent crystal is described.
Transition wavelengths of muonic X-rays of magnesium, silicon and phosphorus
1982, Nuclear Physics, Section A
QED calculations are presented for the wavelengths of the $3 d_{52} -2 p_{32}$ , $3 d_{32} -2 p_{12}$ , $3 d_{32} − 2 p_{32}$ and $3 s_{12} -2 p_{32}$ transitions in muonic ²⁴Mg, ²⁸Si and ³¹P. These values are needed for the interpretation of recent crystal-spectrometer experiments. Various contributions to the transition wavelengths including nuclear finite-size and polarization shifts and the electron screening effect are discussed in detail. We conclude that, for the wavelengths of the 3d-2p transitions, the Dirac energy and the radiative corrections have uncertainties of the order of 1 ppm. At present, the limitation on the final precision is the uncertainty of the electron screening correction (~6 ppm); ways of improving the situation are indicated.
Vacuum polarization test and search for muonhadron interactions from muonic X-rays:. Crystal-spectrometer experiments
1982, Nuclear Physics, Section A
We have measured the wavelengths of the $3 d_{52} −2 p_{32}$ and the $3 d_{32} -2 p_{12}$ X-ray transitions in μ-²⁴Mg, -²⁸Si and -³¹P with the bent-crystal spectrometer at the SIN muon channel. The X-rays are measured relative to the wavelengths of the 84 keV and the 63 keV γ-rays of ¹⁷⁰Tm and ¹⁶⁹Yb which have recently been calibrated to about 1 ppm. The measured X-ray wavelengths λ_exp are compared with theoretical values λ_th, as obtained from QED calculations. The relative difference, averaged over all six measured transitions, is
This result corresponds to a test of the vacuum polarization effect in QED of (0.6 ± 2.4) × 10⁻³. Assuming the QED calculations to be correct, we can use the result to put limits on additional muon-nucleon interactions (as required by gauge theories). If such an interaction is mediated by a scalar, isoscalar boson with a mass smaller than 1 MeV, the coupling constant is found to be
Alternatively, we can deduce from our experiments the most accurate direct value to date for the negative muon mass, .
Spectroscopic quadrupole moment of 27Al from muonic X-rays
1981, Physics Letters B
Muonic atoms testing the electron propagator of quantum electrodynamics and the Higgs boson contribution
1983, Foundations of Physics

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^☆: Work supported in part by SIN and Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung.

^††: Present address: LAMPF, Los Alamos, NM 87545, USA.

^†††: Present address: Siemens AG, Baierbrunnerstrasse 3, D-8000 München 70, West Germany.

^‡: Present address: Kantonsschule Oerlikon, CH-8050 Zürich, Switzerland.

^‡‡: Present address: DESY, Notkestrasse 85, 2 Hamburg 52, West Germany.

^‡‡‡: Present address: Laboratory for Nuclear Science, MIT, Cambridge, Mass. 02139, USA.

^∗: Present address: Centre d'Études Nucléaires de Grenoble, 85X-38041 Grenoble, France.

^∗∗: Present address: National Bureau of Standards, Washington, DC 20234, USA.

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Nuclear Physics A

Abstract

References (43)

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Cited by (8)

New precision measurements of the muonic 3d<inf> 5 2</inf>-2p<inf> 3 2</inf> X-ray transition in <sup>24</sup>Mg and <sup>28</sup>Si: Vacuum polarisation test and search for muon-hadron interactions beyond QED

A new crystal bending device for focusing crystal spectrometers

Transition wavelengths of muonic X-rays of magnesium, silicon and phosphorus

Vacuum polarization test and search for muonhadron interactions from muonic X-rays:. Crystal-spectrometer experiments

Spectroscopic quadrupole moment of <sup>27</sup>Al from muonic X-rays

Muonic atoms testing the electron propagator of quantum electrodynamics and the Higgs boson contribution

Crystal-spectrometer measurement of the 3d-2p X-ray transition in muonic 31P☆

Abstract

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Nucl. Instr.

Z. Naturf.

Atomic Data and Nucl. Data Tables

Nuovo Cim.

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Z. Phys.

Phys. Rev. Lett.

Phys. Rev.

SIN Phys. Report

SIN Phys. Report

Nucl. Instr.

Nucl. Instr.

Nucl. Instr.

Crystal-spectrometer measurement of the 3d-2p X-ray transition in muonic ³¹P☆